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belka [17]
3 years ago
10

Simplified the expression write your answer as a power

Mathematics
2 answers:
emmasim [6.3K]3 years ago
7 0

Answer:

2^8/3^8

Step-by-step explanation:

When multiplying powers with the same base, add the number in the exponent. For example, if you were multiplying 2^4 and 2^3, you would add 3 and 4 (3+4=7), and write your answer as 2^7. In this case, the bases being multiplied are both 2/3, so you can add 2 and 6 for a sum of 8 and put 8 as the exponent: (2/3)^8. The fully simplified expression is 2^8/3^8 because the exponent applies to both the numerator and the denominator.

its a lot but i hope this will help!! please lmk if i made a mistake

Stella [2.4K]3 years ago
4 0

Answer:

256/6561

Step-by-step explanation:

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✎﹏Question~
Varvara68 [4.7K]

Answer:

Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:

6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)

⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0

Now put x + 1/x = y

⇒ 6y2 -5y -50 = 0

⇒ (2y +5)(3y-10)= 0

⇒ y=-5/2 or 10/3

As x is positive therefore, x + 1/x =10/3

On solving further you will get as x=3 or 1/3

7 0
2 years ago
Help Please?
Gemiola [76]

Answer:

1 a = 70%

 b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

---------------------

                .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times


c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.



If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

5 0
3 years ago
Which rectangular prism has a voluWhich rectangular prism has a volume that is different from the others?
Masja [62]

Answer:

The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 85.5 m3.

Step-by-step explanation:

4 0
3 years ago
Integral 1+cos8x/tan2x-cot2x
UkoKoshka [18]
I believe it's<span> 8cos(x)⁸ - 16cos(x)⁶ + 10cos(x)⁴ - 2cos(x)².

</span>8cosx^8 - 16cosx^6+10cosx^4-2cosx^2<span>

Alternately, you can write [</span><span><span>1 / (tan(2x) - cot(2x))] + [cos(8x) / (tan(2x) - cot(2x))].

</span></span>\dfrac{1}{tan(2x)-cot(2x)}+ \dfrac{cos(8x)}{tan(2x)-cot(2x)}<span><span>
</span></span>
5 0
3 years ago
A person of height 1.6m up to the eye level is standing at a point 2m away from the bank of the river and found an angle of elev
natima [27]

Step-by-step explanation:

tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.

Therefore 1.6m / (2m + x) = 1/√3

By cross multiplication, 1.6√3 = 2 + x.

Hence, x ≈ 0.77m.

5 0
3 years ago
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